NOTES FOR THE COURSE:
Section 1.
First set of the most important topological spaces p. 1-7
Section 2.
Constructions
p. 8-12
Section 3.
Homotopy and homotopy equivalence p. 13-18
Section 4.
CW-complexes
p. 19-26
Section 5.
CW-complexes and homotopy p. 27-35
Section 6.
Fundamental group p. 36-44
Section 7.
Covering spaces p. 45-52
Section 8.
Higher homotopy groups p. 53-58
Section 9.
Fiber bundles p. 58-67
Section 10.
Suspension Theorem and Whitehead product p. 68-78
Section 11.
Homotopy groups of CW-complexes p. 79-91
Section 12.
Homology groups: basic constructions p. 92-104
Section 13.
Homology groups of CW-complexes p. 104-115
Section 14.
Homology and homotopy groups p. 115-121
Section 15.
Homology with coefficients and cohomology groups p. 121-136
Section 16.
Some applications p. 136-142
Section 17.
Cup product in cohomology p. 142-151